In recent decades, problems related to the squeeze of fluid films in the presence of aporous medium draw attention of researchers and are the subject of many applied studiesfor industry and biomechanics. Our concerns in this paper are the numerical simulation ofthe viscous shear stresses effects on the fluid film characteristics between two discswith one porous. This study is based on the coupling, at the fluid film-porous discinterface, of the Darcy-Brinkman equations in the porous medium and the modified Reynoldsequation describing the flow in the fluid film. The system of equations obtained isdiscretized by the means of finite differences method and solved numerically using thetechnique of Successive Over-Relaxation (SOR). The results show that the viscous sheareffects increase the radial and the axial fluid film velocities as well as the squeezefilm velocity but decrease the response time. Moreover, these effects are enlarged forsmaller viscous shear parameter and for smaller fluid film thickness.

The nonlinear features of the squeeze-film problem between two parallel long strips driven by the relative harmonic oscillation of the strips is studied via the regular perturbation and numerical calculation for ∈ < 1 and σ = O(1)- O(103), where ∈ is the dimensionless amplitude of the oscillation, and σ is the squeeze number. The fluid film behaves as a (nonlinear) spring for large σ and as a (nonlinear) damper for small σ, which are qualitatively similar to the linear analysis. However, a steady state force is generated even though the driving mechanism is purely oscillatory due to the nonlinear effect. Furthermore, the dimensionless quasi-steady rate of energy dissipation within one cycle of the plate oscillation, E, is not zero (zero for linear analysis), and is maximized at σ ≈ 10. Also the rate of increase of E with ∈ is greater than ∈2. The present study may be helpful for the design of some accelerometers and vibration absorbers.